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Anton Khoroshkin: Compactified moduli spaces of rational curves with marked points as homotopy quotients of operads

Time: Tue 2018-03-06 10.30 - 12.15

Location: Room 16, House 5, Kräftriket, Department of Mathematics, Stockholm University

Participating: Anton Khoroshkin (HSE)

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ABSTRACT : I will explain the notion of a homotopy quotient of an operad providing different examples of operads of compactified moduli spaces of genus zero curves with marked points: including the complex space ( math.arXiv:1206.3749 ), the real loci of the complex one ( arXiv:math/0507514 ) and the noncommutative one ( math.arxiv:1510.03261 ).

As a conclusion I will suggest a description of the rational homotopy type of $\bar{M_{0,n}(R)$ and show that this manifold is not formal (work in progress with T.Willwacher).